Answer:
2,520
Step-by-step explanation:
The number of possible arrangements of officers patrolling the streets is the combination of choosing 5 officers out of 10 (₁₀C₅). After choosing the patrolling officers, the number of arrangements for the officers working full time at the station is given by the combination of choosing 2 officers out of the 5 remaining (₅C₂). The remaining officers should be on reserve at the station (₃C₃). The total number of arrangements is:
![N = _{10}C_5*_5C_2*_3C_3\\N=\frac{10!}{(10-5)!5!} *\frac{5!}{(5-2)!2!}*\frac{3!}{(3-3)!3!} \\N=2,520](https://tex.z-dn.net/?f=N%20%3D%20_%7B10%7DC_5%2A_5C_2%2A_3C_3%5C%5CN%3D%5Cfrac%7B10%21%7D%7B%2810-5%29%215%21%7D%20%2A%5Cfrac%7B5%21%7D%7B%285-2%29%212%21%7D%2A%5Cfrac%7B3%21%7D%7B%283-3%29%213%21%7D%20%5C%5CN%3D2%2C520)
There are 2,520 possible divisions.
Since we are given that y is directly proportional to x and that when y = 11, x equals 6, we can set up a proportion. Before doing that however, we need to note that the question is asking for the value of y when x = 9. Here is the equation:
![\frac{11}{6} = \frac{y}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B6%7D%20%3D%20%5Cfrac%7By%7D%7B9%7D%20)
Now, just cross multiply and solve for y to get a value of 16.5. Therefore, the value of y when x = 9 is
16.5. Hope this helped and have a phenomenal day!
Quadrant I or QI
This is tough to explain but here I go
If x and y is positive, it's QI
If x is negative and y is positive it's QII
If x and y are negative, it's QIII
If x is positive and y is negative It's QIV
So the answer is C
Hopes this helps :D
Answer:
-63 gallons
Step-by-step explanation:
You don't know the original water amount, but it is asking for the change or the difference in the water volume so it doesn't even matter.
Since 7 gallons leak every hour and it is over 9 hours, you can multiply 9 by 7 to get 63 gallons.